If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying z2 + 18z = -15 Reorder the terms: 18z + z2 = -15 Solving 18z + z2 = -15 Solving for variable 'z'. Reorder the terms: 15 + 18z + z2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + 18z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + 18z + -15 + z2 = 0 + -15 Reorder the terms: 15 + -15 + 18z + z2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 18z + z2 = 0 + -15 18z + z2 = 0 + -15 Combine like terms: 0 + -15 = -15 18z + z2 = -15 The z term is 18z. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18z + 81 + z2 = -15 + 81 Reorder the terms: 81 + 18z + z2 = -15 + 81 Combine like terms: -15 + 81 = 66 81 + 18z + z2 = 66 Factor a perfect square on the left side: (z + 9)(z + 9) = 66 Calculate the square root of the right side: 8.124038405 Break this problem into two subproblems by setting (z + 9) equal to 8.124038405 and -8.124038405.Subproblem 1
z + 9 = 8.124038405 Simplifying z + 9 = 8.124038405 Reorder the terms: 9 + z = 8.124038405 Solving 9 + z = 8.124038405 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + z = 8.124038405 + -9 Combine like terms: 9 + -9 = 0 0 + z = 8.124038405 + -9 z = 8.124038405 + -9 Combine like terms: 8.124038405 + -9 = -0.875961595 z = -0.875961595 Simplifying z = -0.875961595Subproblem 2
z + 9 = -8.124038405 Simplifying z + 9 = -8.124038405 Reorder the terms: 9 + z = -8.124038405 Solving 9 + z = -8.124038405 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + z = -8.124038405 + -9 Combine like terms: 9 + -9 = 0 0 + z = -8.124038405 + -9 z = -8.124038405 + -9 Combine like terms: -8.124038405 + -9 = -17.124038405 z = -17.124038405 Simplifying z = -17.124038405Solution
The solution to the problem is based on the solutions from the subproblems. z = {-0.875961595, -17.124038405}
| 9x+7=3x-18 | | 3+10q-4=25 | | 0.08x-0.01y=3.8 | | 16(2x-7)=4(8x+3) | | 6+9z-1=8z+47-5z | | 5p+16=42 | | x+(35+x)+(-39+3*x)=871 | | 0.5(-19+-3y)-0.5y=4.5 | | 0.1x+0.3y=-1.9 | | 0.1x+0.6y=-1.2 | | -3*(-2)= | | -5(2b+2)+(11b-6)=0 | | -3x(-2)= | | 1.6q-2.6-2.1q=1.5q-3.4 | | -4y+6=-5y+2 | | 10=-8w+2(w+8) | | -4y+6=5y+2 | | n-28=-39 | | 4(2a-8)=0.142857(49a+70) | | 2x^2+12+14=y | | 4x-15=16x+42-17 | | ax^2-bx=0 | | x^2+9x+38=0 | | 5v^2+21v-20=0 | | 9y-15=3(y+1) | | m(7-x)=5-y | | 5b^2-55b+120=0 | | y=2x^2-4x+8 | | 6b^2-13b+3=3 | | x^2+12t=0 | | 18x^3-45x^2+2x-5=0 | | 10(t-4)+4t=7(2t+2)-10 |